460677116123400 has 384 divisors, whose sum is σ = 1600890953564160. Its totient is φ = 108602633088000.

The previous prime is 460677116123317. The next prime is 460677116123429. The reversal of 460677116123400 is 4321611776064.

It is a self number, because there is not a number n which added to its sum of digits gives 460677116123400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 455416185 + ... + 456426615.

It is an arithmetic number, because the mean of its divisors is an integer number (4168986858240).

Almost surely, 2^{460677116123400} is an apocalyptic number.

460677116123400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460677116123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800445476782080).

460677116123400 is an abundant number, since it is smaller than the sum of its proper divisors (1140213837440760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460677116123400 is a wasteful number, since it uses less digits than its factorization.

460677116123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012365 (or 1012356 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

Adding to 460677116123400 its reverse (4321611776064), we get a palindrome (464998727899464).

The spelling of 460677116123400 in words is "four hundred sixty trillion, six hundred seventy-seven billion, one hundred sixteen million, one hundred twenty-three thousand, four hundred".